Exact periodic wave solutions for the hKdV equation |
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| Authors: | Hanze Liu Jibin Li Fengjuan Chen |
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| Institution: | 1. Center for Nonlinear Science Studies, Kunming University of Science and Technology, Kunming Yunnan 650093, China;2. Department of Mathematics, Binzhou University, Binzhou Shandong 256603, China;3. Department of Mathematics, Zhejiang Normal University, Jinhua Zhejiang 321004, China |
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| Abstract: | In this paper, by using the Hirota bilinear method and the Jacobian theta functions for the higher order KdV equation, the existence of periodic wave solutions with one and two period are obtained. The asymptotic properties of the periodic wave solutions are analyzed in detail. It is shown that the well-known soliton solutions can be reduced from the periodic wave solutions. |
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| Keywords: | 35B10 35Q51 |
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